Current Courses

I am currently a facilitator for the Rutgers problem solving seminar (math 491, fall 2016).

Previous Courses

Below is a list of the courses I taught at Rutgers. Sample materials including past exams and assignments are available below the table.

Click each course title for a syllabus (when available)
Click each section number for the course survey results (when available)
In the interest of full disclosure, survey results are raw data. A summary statement is also available.
YSP denotes the annual Young Scholars Program at Rutgers
See also the MathFest presentation of my Math as a Creative Art course including a fuller discussion of the content and student learning

Semester	Course	Number	Section(s)	Role	Comments
Summer 2016	Algorithms and Complexity Theory	YSP		Instructor	Designed curriculum Served as resident instructor for the program
Spring 2016	Undergraduate honors seminar	492		Facilitator	Topic: calculus of variations
Fall 2015	Linear Algebra	250	02, 15	Online TA	First departmental use of online office hours
Fall 2015	Problem Solving Seminar	491		Facilitator	Putnam exam preparation
Summer 2015	Probability	YSP		Instructor	Designed curriculum
Summer 2015	Probability	477	B1	Instructor
Spring 2015	Calculus I (for non-majors)	135	50, 51, 52	TA
Fall 2014	Math for Liberal Arts Majors (honors)	103	H	Instructor	Created entirely new course Presented at MathFest
Summer 2014	Calculus I (for majors)	151	C1	Instructor
Fall 2013	Linear Algebra (with MATLAB)	250	C2	Instructor
Summer 2013	Calculus II	152	C2	Instructor
Spring 2013	Linear Algebra	250	11	Instructor
Fall 2012	Calculus I (for majors)	151	36, 37, 38	TA

Sample Course Material [back to top]

Here is selected course material that I've created for my classes.

To students: this material may or may not be useful for you as a study guide (you should ask your instructor about this sort of thing), and if you are in one of my classes, you can be sure these questions are too old to appear on any of your exams. You can also be sure that none of these questions are among those currently used for other Rutgers courses. That said, you are certainly welcome to work on any problems you find here (some of which I'm quite proud of).

To employers: much more is available on request. I also have detailed question-by-question data for how students did on each exam, and I would be happy to provide a version of this (of course with all student information redacted).

To educators: I wouldn't suggest using these questions for exams or the like (since they're available here online), but you are warmly welcome to anything you like. If you end up using any of my materials for activities or class discussion, I'd be happy to hear about how it went. Feel free to email me for LaTeX files.

Sample assignments
- Calc 1 student-made problems (2014), special assignment (2012), workshop (2014)
- Calc 2 workshop A, workshop B, workshop C (2013)
- Probability special homework (2015)
- Math as a creative art assignment A, assignment B
Sample quizzes
- Calc 2; calc 3; linear algebra spring 2013, fall 2013
Exams
- Calc 1, calc 2, linear algebra, probability
Probability course (YSP, 2015)
- Daily course notes: 1, 2, 3, 4, 5
- Daily exercises: 1, 2, 3, 4
Algorithms and complexity theory course (YSP, 2016)
- Daily course notes: 1, 2, 3, 4, 5
- Daily exercises: 1, 2, 3, 4

Young Scholars Program [back to top]

The Young Scholars Program is an intense summer program at Rutgers where highly talented high school students are exposed to proof-based mathematics. My first involvement with the program was in summer of 2015, when I was invited to serve as the instructor for one of the courses: probability. This was a five-day crash-course on the subject. After that summer, I was invited to serve as resident instructor for the program (in charge of pedagogy and implementation of all the courses). In fall 2015, we experimented in a new direction, where YSP students were invited back to Rutgers to participate in guided research projects. I was the mentor for each of these projects, and I was in charge of facilitating the group meetings.

As resident instructor for the summer 2016 program, I helped interview and select the teaching assistants, and I developed a training program for them by establishing a partnership with the university's learning centers. I also oversaw the academic content of the eight courses taught, and I taught one of the courses myself: algorithms and complexity theory. See the section directly above this for the material I developed for those courses.

Seminars Facilitated [back to top]

The Rutgers undergraduate honors seminar is a course for undergraduate juniors and seniors majoring in mathematics. For the first few lectures of the course, a senior faculty member presents general background about some topic (in this case, calculus of variations). After this foundational material is established, the rest of the course is devoted to weekly student presentations. For these, each student researches a topic and then teaches the material to the rest of the class. Each student presentation lasts one class session, and the students are also to submit notes that summarize and supplement this material. In addition to helping facilitate the class sessions (e.g., asking or addressing questions as needed), I met with each student individually to help them research the material and prepare their presentations. This included helping the students learn the necessary mathematics as well as giving them guidance and feedback in their pedagogical choices.

The Rutgers problem solving seminar is a course mainly geared towards helping students prepare for the Putnam exam. Each fall, two sections of the course are offered simultaneously. One section has a non-competitive feel, and it is appropriate for students newer to mathematical proofs. The other section is more advanced, and it is primarily for students who already have the requisite background to approach Putnam-level problems. Both sections involve students working alone or in groups on problem sets and presenting their solutions to the class. I have facilitated both levels of this course.